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Zorluk: KolayEvaluating Algebraic Expressions

Follow the steps to evaluate the algebraic expression given the variable assignments. What are the intermediate and final values?

Cevap:For the expression p3−6qp^3 - 6q, given that p=−2p = -2 and q=3q = 3:

The value of the first term, p3p^3, is 【-8】.
The value of the second term, 6q6q, is 【18】.
The final evaluated result of the entire expression is 【-26】.

Cevap

The intermediate values are -8 and 18, which subtract to a final result of -26.
By accurately substituting p=−2p = -2 and q=3q = 3 into the given expression, applying the exponent correctly, and performing the final subtraction, we arrive at the correct values for each step and the final answer of -26.

Adım Adım Çözüm

1
Substitute the given value for pp into the first term.
(−2)3=−8(-2)^3 = -8
Replacing the variable pp with −2-2 evaluates the exponent. A negative base raised to an odd power remains negative.
2
Substitute the given value for qq into the second term.
6(3)=186(3) = 18
Replacing the variable qq with 33 completes the multiplication required for the second term.
3
Combine the evaluated terms according to the original expression.
−8−18=−26-8 - 18 = -26
Following the original expression p3−6qp^3 - 6q, we subtract the value of the second term from the first term.

Anahtar Kavram

Evaluating algebraic expressions involving exponents and negative numbers
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Evaluating Algebraic Expressions

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